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Calculate the new value after increasing a number by a percentage. Find salary increases, price hikes, and growth with detailed solutions.
Formula: New = Original × (1 + Percentage/100)
Example: 100 increased by 20% = 100 × 1.20 = 120
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Multiply the number by (1 + percentage/100). For example, to increase 50 by 20%: 50 × (1 + 0.20) = 50 × 1.20 = 60. The 1 represents the original 100%, and 0.20 is the 20% increase.
100 increased by 25% = 100 × 1.25 = 125. The increase amount is 25, and the new value is 125.
If your salary is $50,000 and you get a 10% raise: $50,000 × 1.10 = $55,000. Your salary increase is $5,000, and your new salary is $55,000.
Yes! If a product costs $40 and the price increases by 15%: $40 × 1.15 = $46. The new price is $46, with a $6 increase.
Multiply the price by (1 + tax rate). For a $100 item with 8% tax: $100 × 1.08 = $108. This is the total price including tax.
Percentage increase always results in a larger value and uses the formula: Original × (1 + %/100). Percentage change can be positive (increase) or negative (decrease) and calculates the relative change: ((New - Original)/Original) × 100.
A percentage increase represents growth or addition to an original value. It's commonly used in finance for salary raises, price increases, investment returns, and inflation calculations. The key is that you're adding a percentage of the original value to itself.